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Finding the Fourth Proportional to 352.90, 488.04 and 309.16

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Solution

The fourth proportional to 352.90, 488.04 and 309.16 is: 427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.90 : 488.04 = 309.16 : x
  2. Step 2: Convert to fraction form
    352.90/488.04 = 309.16/x
  3. Step 3: Cross multiply
    352.90x = 488.04 × 309.16
  4. Step 4: Simplify right side
    352.90x = 150,882.45
  5. Step 5: Solve for x
    x = 150,882.45/352.90
  6. Step 6: Final answer
    x = 427.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.